piecewise function

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f(x)={2x-1 ifx>1
{-4 if -1¡Üx<1
{2-x^2 if x<1

  • piecewise function -

    State the value of f(0)and f(-2) and Graph

  • piecewise function -

    I will interpret you second function as
    { -4 if -1 ≤ x< 1

    and to make any sense, the third function is probably
    {2 - x^2 if x < -1

    so f(0) = -4, (fits the second function)
    f(-2) = 2 - 4 = -2

    make a sketch of each graph on the same grid in pencil, then erase the part which is outside the domain.
    The first is a straight line starting at (1,1) with an open circle at (1,1) and following y = 2x-1
    the second is a horizontal line y = -4 from -1 to 1
    closed circle at (-1,-4) and open circle at (1,-4)
    third is a parabola which opens downwards and to the left of (-1, 1) with (-1,1) open circle.

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